Zobrazeno 1 - 10
of 4 097
pro vyhledávání: '"Computer Algebra"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 8, Pp 21471-21495 (2024)
Railway interlocking systems are essential safety components in rail transportation, designed to prevent train collisions. They regulate the transitions between sections of a railway station using rail traffic control elements. An interlocking system
Externí odkaz:
https://doaj.org/article/3bdf4584b07f4cd1a4debca91132dcfb
Publikováno v:
AIMS Mathematics, Vol 9, Iss 3, Pp 7673-7710 (2024)
Railway interlocking systems are crucial safety components in rail transportation, designed to prevent train collisions by regulating switch positions and signal indications. These systems delineate potential train movements within a railway station
Externí odkaz:
https://doaj.org/article/d93acfe5f16f478f9be1ff479a2bdcc5
Autor:
Uğur Gözütok, Hüsnü Anıl Çoban
Publikováno v:
AIMS Mathematics, Vol 9, Iss 2, Pp 4294-4308 (2024)
We presented a new and complete algorithm for detecting isometries and symmetries of implicit algebraic surfaces. First, our method reduced the problem to the case of isometries fixing the origin. Second, using tools from elimination theory and polyn
Externí odkaz:
https://doaj.org/article/44dc0b1e016042cda66f03a1892c1464
Publikováno v:
AIMS Mathematics, Vol 8, Iss 12, Pp 30683-30703 (2023)
A novel scheme based on the generalized differential operator and computer algebra was used to construct solitary solutions to a system of Riccati differential equations with diffusive coupling. The presented approach yields necessary and sufficient
Externí odkaz:
https://doaj.org/article/654277a5cf5641fcb74e02a2c513580e
Publikováno v:
Mathematics, Vol 12, Iss 17, p 2725 (2024)
This paper explores the numerical intergator of ODE based on combination of Appelroth’s quadratization of dynamical systems with polynomial right-hand sides and Kahan’s discretization method. Utilizing Appelroth’s technique, we reduce any syste
Externí odkaz:
https://doaj.org/article/f5634470396041389980e2b08b7652ba
Publikováno v:
Computers, Vol 13, Iss 8, p 187 (2024)
This paper explores the performance of ChatGPT and GeoGebra Discovery when dealing with automatic geometric reasoning and discovery. The emergence of Large Language Models has attracted considerable attention in mathematics, among other fields where
Externí odkaz:
https://doaj.org/article/3c3e6bb6fa6648a78e33158635c027e2
Publikováno v:
Mathematics, Vol 12, Iss 14, p 2287 (2024)
We consider the problem of determining the weights of difference schemes whose form is specified by a particular symbolic expression. The order of approximation of the differential equation is equal to a given number. To solve it, it was propose to p
Externí odkaz:
https://doaj.org/article/9342ad0317124fc4836f34f7eba51738
Publikováno v:
Electronic Research Archive, Vol 31, Iss 10, Pp 6160-6196 (2023)
Decision-making in a railway station regarding the compatibility of the positions of the switches of the turnouts and the indications (proceed/stop) of the railway colour light signals is a safety-critical issue that is considered very labor-intensiv
Externí odkaz:
https://doaj.org/article/921ba3877e10404c8060a8a4bc9d77dc